S-duality and Lie Super-algebras
Explore geometric realization of quantum simple Lie super-algebras, S-duality, and connections to geometric Langlands correspondence and relative Langlands duality.
Curvature-Homogeneous Riemannian 3-Manifolds and Integrable Systems
Explore curvature-homogeneous Riemannian 3-manifolds, surveying known examples and recent discoveries. Delve into connections with integrable systems, particularly Toda lattices, to construct new explicit examples.
Knot Invariants from Finite Dimensional Integration
Explore finite dimensional integration for computing powerful knot invariants, surpassing traditional methods in efficiency and rigor while challenging established notions in knot theory.
Metric SYZ Conjecture for Calabi-Yau Manifolds - ICBS 2024
Explore special Lagrangian torus fibrations on Calabi-Yau manifolds, focusing on recent progress and the Fermat family of hypersurfaces.
Hyperbolic and Mixed-Type Problems in Gas Dynamics and Geometry
Explore hyperbolic and mixed-type PDEs in gas dynamics and geometry, focusing on transonic flows and isometric embedding.
Understanding the Relationship Between the Schramm-Loewner Evolution and the Gaussian Free Field
Explore the connection between Schramm-Loewner Evolution, Gaussian Free Field, and Liouville Quantum Gravity through a novel, accessible approach for non-specialists.
Optimal Estimates for Neumann Eigenvalues
Explore optimal estimates for Neumann eigenvalues, including award-winning research on maximizing second eigenvalues and recent findings on convex set bounds.
Critical Points of Eisenstein Series and Spectrum of the Lame Operator
Explore critical points of Eisenstein series E2, E4, E6 and their applications to the Lame operator's spectrum in this advanced mathematics lecture.
Gromov-Witten Type Theory and Statistical Physics
Explore connections between Gromov-Witten theory and statistical physics, applying concepts from both fields to gain new insights and tackle complex problems in topological string theory.
Hermitian Yang-Mills Connections on Log Terminal Kahler Spaces
Explore Hermitian Yang-Mills theory on mildly singular spaces, focusing on recent results for sheaves and log terminal Kähler spaces.
Sharp Restriction Theory - Part 3
Explore advanced concepts in sharp restriction theory, delving into complex mathematical principles and their applications in functional analysis.
Sharp Restriction Theory - Part 2
Explore advanced concepts in sharp restriction theory, delving into mathematical intricacies and applications with expert guidance from Diogo Oliveira e Silva.
Non-local PDEs and Potential Theory
Explore non-local PDEs and potential theory with Mateusz Kwaśnicki from Wrocław University of Science and Technology, Poland.
Knot Invariants and Hyperbolic Flows
Explore knot invariants and hyperbolic flows in this advanced mathematics talk by Northwestern researcher Solly Coles.
Quantitative Refinements of Conjectures in 3D Reeb Dynamics - Workshop on Conservative Dynamics and Symplectic Geometry
Explore quantitative refinements of conjectures in 3D Reeb dynamics and related results. Delve into symplectic topology, Hamiltonian dynamics, and contact geometry with expert Umberto Hryniewicz.
Studies Around Hydrodynamic Limits in Interacting Particle Systems - Lecture 3
Explore hydrodynamic limits in interacting particle systems with advanced mathematical concepts and techniques. Gain insights into complex systems behavior at the doctorate level.
Studies Around Hydrodynamic Limits in Interacting Particle Systems - Lecture 2
Explore hydrodynamic limits in interacting particle systems through advanced mathematical concepts. Gain insights into complex systems behavior and statistical mechanics.
Special Holonomy and Geometric Structures on Complex Manifolds
Explore advanced geometric structures on complex manifolds, focusing on special holonomy and its connections to various mathematical fields and theoretical physics.
Killing and Ricci-Hessian Equations in Pseudo-Kähler Geometry - Special Holonomy and Geometric Structures on Complex Manifolds
Explore Killing and Ricci-Hessian equations in (pseudo)Kähler geometry. Delve into special holonomy, complex manifolds, and their connections to various mathematical fields and theoretical physics.
Special Holonomy and Geometric Structures on Complex Manifolds
Explore advanced topics in differential geometry, including special holonomy, complex manifolds, and their connections to various mathematical fields and theoretical physics.
Special Holonomy and Geometric Structures on Complex Manifolds
Explore SU(2)-structure flows in complex manifolds, delving into special holonomy and geometric structures. Gain insights into differential geometry's connections with complex geometry, physics, and symplectic geometry.